Journal article
The classical limit of quantum nonspin systems
Journal of mathematical physics, v 20(5), pp 891-893
May 1979
Abstract
The classical limit of operators X belonging to any compact Lie algebra g is computed. If X∈g, the classical limit in the representation ΓΛ, whose highest weight is Λ, is lim ΓΛ(X/N) =Σs
i
g (f
i
,X,Ω), where the limit is taken as N→∞, the sum runs from i=1 to r=rank g, Λ=Σμ
i
f
i
,f
i
are the highest weights of the r fundamental representations of g,s
i
=lim μ
i
/N, and g (f
i
,X,Ω) is the expectation value of X with respect to the coherent states ‖f
i
, Ω〉 in the representation Γf
i
. Examples and applications are given.
Metrics
Details
- Title
- The classical limit of quantum nonspin systems
- Creators
- R. Gilmore - University of South Florida
- Publication Details
- Journal of mathematical physics, v 20(5), pp 891-893
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 3
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1979GW46400018
- Scopus ID
- 2-s2.0-36749120140
- Other Identifier
- 991021861620904721